annotate scripts/statistics/distributions/fcdf.m @ 11523:fd0a3ac60b0e

update copyright notices
author John W. Eaton <jwe@octave.org>
date Fri, 14 Jan 2011 05:47:45 -0500
parents 1740012184f9
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11523
fd0a3ac60b0e update copyright notices
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1995-2011 Kurt Hornik
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} fcdf (@var{x}, @var{m}, @var{n})
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21 ## For each element of @var{x}, compute the CDF at @var{x} of the F
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22 ## distribution with @var{m} and @var{n} degrees of freedom, i.e.,
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23 ## PROB (F (@var{m}, @var{n}) @leq{} @var{x}).
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24 ## @end deftypefn
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25
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26 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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27 ## Description: CDF of the F distribution
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28
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29 function cdf = fcdf (x, m, n)
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30
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31 if (nargin != 3)
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32 print_usage ();
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33 endif
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34
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35 if (!isscalar (m) || !isscalar (n))
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36 [retval, x, m, n] = common_size (x, m, n);
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37 if (retval > 0)
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38 error ("fcdf: X, M and N must be of common size or scalar");
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39 endif
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40 endif
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41
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42 sz = size (x);
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43 cdf = zeros (sz);
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44
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45 k = find (!(m > 0) | !(n > 0) | isnan (x));
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46 if (any (k))
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47 cdf(k) = NaN;
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48 endif
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49
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50 k = find ((x == Inf) & (m > 0) & (n > 0));
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51 if (any (k))
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52 cdf(k) = 1;
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53 endif
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54
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55 k = find ((x > 0) & (x < Inf) & (m > 0) & (n > 0));
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56 if (any (k))
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57 if (isscalar (m) && isscalar (n))
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58 cdf(k) = 1 - betainc (1 ./ (1 + m .* x(k) ./ n), n / 2, m / 2);
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59 else
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60 cdf(k) = 1 - betainc (1 ./ (1 + m(k) .* x(k) ./ n(k)), n(k) / 2,
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61 m(k) / 2);
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62 endif
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63 endif
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64
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65 endfunction